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Arte-miy333 [17]
3 years ago
11

Can someone help me please I would appreciate it.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0
The answer is c to my calculations.
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Which shuttle service has a greater initial value?​
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-3 n is an integer.<br> Write down the possible values of n.<br> I
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Verify the following identity:
Paraphin [41]

We will simplify the left hand side of the equation to look like the right

\displaystyle \frac{1-sin(t)}{cos^{2}(t)}  + \frac{1}{1 - sin(t)}

taking the LCM

\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}

expanding the binomial in the numerator

\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}

Since sin²x + cos²x = 1

\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}

factoring out the 2 from the numerator

\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}

1-sin(t) will cancel out

\displaystyle \frac{2}{cos^{2}(t)}

since cos²(t) = 1/(sec²(t))

2 sec^{2}(t)

which is equal to the right hand side of our given equation.

So we verified the identity!

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3 years ago
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